Amass weighing 12 pounds stretches a spring 2 feet. The mass is initially released from a point
Question:
Amass weighing 12 pounds stretches a spring 2 feet. The mass is initially released from a point 1 foot below the equilibrium position with an upward velocity of 4 ft/s.
(a) Find the equation of motion.
(b) What are the amplitude, period, and frequency of the simple harmonic motion?
(c) At what times does the mass return to the point 1 foot below the equilibrium position?
(d) At what times does the mass pass through the equilibrium position moving upward? Moving downward?
(e) What is the velocity of the mass at t = 3π/16 s?
(f ) At what times is the velocity zero?
Step by Step Answer:
a b c d e f Hookes law force f kx 12dx 32 dt 3dx ...View the full answer
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1111827052
10th edition
Authors: Dennis G. Zill
Related Video
simple harmonic motion, in physics, repetitive movement back and forth through an equilibrium, or central, position, so that the maximum displacement on one side of this position is equal to the maximum displacement on the other side. The time interval of each complete vibration is the same
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